Representing multiples of \(m\) in real quadratic fields as sums of squares

DOI10.1016/j.jnt.2022.09.011OpenAlexW3165844367MaRDI QIDQ2112773

Martin Raška

Publication date: 12 January 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11423

zbMATH Keywords

sums of squaresreal quadratic fieldtotally positive integersindecomposable integers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic extensions (11R11) Quadratic forms over global rings and fields (11E12) Totally real fields (11R80)

Cites Work

• Unnamed Item
• Additive structure of totally positive quadratic integers
• On the rank of universal quadratic forms over real quadratic fields
• Indecomposable totally positive numbers in real quadratic orders
• Sums of squares in \(S\)-integers
• Pythagoras numbers of orders in biquadratic fields
• Sums of \(m\)th powers of algebraic integers
• Quadratische Formen über Zahlringen

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